This quiz consists of 5 multiple choice and 5 short answer questions through A Sampler of Euler's Number Theory.

Multiple Choice Questions

1. Dunham showed that Heron's proof could also be used as which of the following?(a) A proof of Euclid's number theory (b) A proof of Archimedes' number theory. (c) A proof of the Pythagorean Theorem. (d) A proof of Hippocrates' squared areas.

3. What was the same about the series proposed by Leibniz and the series proposed by Bernoulli?(a) Both series were divergent. (b) Both series were composed of successively smaller terms. (c) Both series were composed of successively larger terms. (d) Both series were convergent.

4. Besides being a mathematician, what else other work was Archimedes famous for?(a) Doctor and writer, (b) Inventor and scientist. (c) Politician. (d) Artist and musician.

5. What did Gauss do with his best work?(a) He gave it to his son to publish. (b) He published it. (c) He did not publish it. (d) He gave it to his students.

Short Answer Questions

1. What did Dunham consider as Archimedes's "masterpiece"?

2. What was true about Heron's theorem as described by Dunham?

3. What great theorem is presented by Dunham in this chapter?

4. What did Gauss construct?

5. Which of the following was a major part of Gauss' work in mathematics?